Document Type

Article - postprint

Department

Mathematics (HMC)

Publication Date

7-2009

Abstract

We prove that a boundary value problem for a semilinear wave equation with smooth nonlinearity, smooth forcing, and no resonance cannot have continuous solutions. Our proof shows that this is due to the non-monotonicity of the nonlinearity.

Comments

Author's post-print manuscript available for download.

The article can also be found on the publisher's website at http://dx.doi.org/10.3934/dcds.2009.24.653

Rights Information

© 2009 American Institute of Mathematical Sciences